How to ensure Python s asyncio library executes tasks in depth first search order

Title: Ensuring Depth-First Search Order with Python's asyncio Library
Introduction:
Python's asyncio library provides a powerful framework for writing concurrent code using asynchronous programming. However, when dealing with a set of tasks, the default behavior of asyncio may not guarantee a specific execution order. In some cases, you might want to ensure a depth-first search (DFS) order for executing tasks. This tutorial will guide you through achieving this with asyncio, along with code examples.
Make sure you have a basic understanding of Python and asyncio.
Depth-First Search is a traversal algorithm that explores as far as possible along each branch before backtracking. In the context of asyncio, this means executing tasks in a hierarchical, depth-first manner.
Before we delve into DFS, let's set up a basic asyncio program to understand its default behavior.
This program defines three asynchronous tasks (A, B, and C) with different sleep durations.
In this example, the dfs_schedule function is responsible for iterating through the tasks and ensuring a depth-first order of execution. Notice how task "B" is now a list of tasks (B1 and B2) to demonstrate hierarchical execution.
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